Abstract
We describe recent results that establish a close relationship between the Ahlfors mapping function associated to an n-connected domain in the plane and the Bergman and Szego kernels of the domain. The results show that the Ahlfors mapping plays a role in the multiply connected setting very similar to that of the Riemann mapping in the simply connected case. We also describe how the Ahlfors map is connected to the Poisson and other kernels.
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